A 4-pound bag of sugar contains 454 one teaspoon servings and costs $3 49, A batch of muffins uses 3/4 cup of sugar. How many batches can you make if you use all the sugar? What is the cost of sugar for each?

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A 4-pound bag of sugar contains 454 one teaspoon servings and costs $3 49, A batch of muffins uses 3/4 cup of sugar. How many batches can you make if you use all the sugar? What is the cost of sugar for each?

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Answer 1 · 2017-03-19T14:53:02

All the sugar used $\to 12.77 batches$ $-> 12.77" batches"$

Cost of sugar for each batch is $\approx ($ 3.49) \div 12.77 \approx $ 0.273$ $~~($3.49)-:12.77~~ $0.273$

Explanation:

Let the count of full batches using $\frac{3}{4}$ $3/4$ cup be $B$ $B$

$Information from question$ $color(blue)("Information from question")$

Sugar $\to 4 l b \to 454 teaspoons \to $ 3.49$ $->4 lb ->454 " teaspoons" ->$3.49$

1 full cooking batch uses $\frac{3}{4}$ $3/4$ cup of sugar
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$Using the units of measurements to indicate the method of calculation$ $color(brown)("Using the units of measurements to indicate the method of calculation")$

$Method$ $color(blue)("Method ")$
batches cooked = total teaspoons available $\div$ $-:$ teaspoons in $\frac{3}{4}$ $3/4$ cup

batches cooked = total teaspoons " $\div (\frac{3}{4} cup \times \frac{teaspoons}{cup})$ $-: (3/4" cup"xx ("teaspoons")/("cup"))$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$Step 1: Determine the count of teaspoons in 1 cup.$ $color(blue)("Step 1: Determine the count of teaspoons in 1 cup.")$

1 teaspoon = 5 ml

1 cup = 237 ml

teaspoon count per cup is how many lots of 5ml will fit into 237 ml

$\to 237 \div 5 = \frac{237}{5} \frac{teaspoons}{cup}$ $->237-:5 = 237/5 ("teaspoons")/("cup")$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$Step 2: Completing the calculation by substituting values$ $color(blue)("Step 2: Completing the calculation by substituting values")$

batches cooked = total teaspoons $\div (\frac{3}{4} cup \times \frac{teaspoons}{cup})$ $-: (3/4" cup"xx ("teaspoons")/("cup"))$

$full batches cooked = B = 454 \div (\frac{3}{4} \times \frac{237}{5})$ $"full batches cooked" =B=454-:(3/4xx237/5)$

$B = 454 \div \frac{711}{20}$ $B=454-:711/20$

$B = 12 \frac{548}{711} = \frac{9080}{711} \approx 12.77$ $B= 12 548/711 = 9080/711~~12.77" "$ to 2 decimal places

All the sugar used $\to 12.77 batches$ $-> 12.77" batches"$

Cost of sugar for each batch is $\approx ($ 3.49) \div 12.77 \approx $ 0.273$ $~~($3.49)-:12.77~~ $0.273$

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A 4-pound bag of sugar contains 454 one teaspoon servings and costs $3 49, A batch of muffins uses 3/4 cup of sugar. How many batches can you make if you use all the sugar? What is the cost of sugar for each?

1 Answer

Explanation:

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